Probability (%) to Odds to Pot Fraction in Holdem
—The Probability (%) to Odds (/1) to Pot Fraction Chart—
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Probability (%) :- Tells you how often something Will happen.
Odds (/1) :- Tells you how often something Will Not happen.
e.g. You calculate the opponents have 6 % equity against you. 6 % = 15 / 1 Odds.
Run the situation sixteen times, you win fifteen times the opponents Will win once.
Pot Fraction :- Tells you your Odds when drawing and lets you set the Odds when opponents draw against you.
++++++++++ Pot Fraction Controls Everything ++++++++++
—Two Rules of Thumb—
1 When calculating Draws or Made Hands against you, each individual hand (3d 3s)
is worth 0.1 %.
(It’s actually 0.092 % on flop, 0.096 % on turn and 0.101 % on river).
e.g. You calculate 12 individual hands make a Set 12 * 0.1 % = 1.2 % chance of each opponent having a Set.
2 Phil Gordon’s 4&2 Rule, each out with one card to come is worth 2 %, each out with two cards to come is worth 4 %.
(each out with one card to come 2.127 % on flop, 2.173 % on turn)
(each out with two cards to come 4.255 %).
e.g. On the turn (10 outs * 2 % = 20 %) = 4 / 1 Odds, which is a third of the Pot.
e.g. On the flop (6 outs * 4 % = 24%) = 3.1 / 1 Odds, which is half the Pot.
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Breakdown of the above
Formula to convert Per cent to Odds :- ( 100 / p% ) - 1
e.g. (( 100 / 9 ) = 11 ) - 1 = 10 / 1 Odds
(( 100 / 4 ) = 25 ) - 1 = 24 / 1 Odds
Pot Fraction :- Two chips in the pot you bet one which is half the pot. An opponent will have to put one chip in to take three out 3/1 Odds.
Calculate each Individual Hand
On Flop 47 unseen cards
COMB ( 47 , 2 ) ( 47 * 46 ) / ( 1 * 2 ) = ( 2162 / 2 ) 1081 total possible hands
1 / 1081 = 0.00092 0.092 %
On Turn 46 unseen cards
COMB ( 46 , 2 ) ( 46 * 45 ) / ( 1 * 2 ) = ( 2070 / 2 ) 1035 total possible hands
1 / 1035 = 0.00096 0.096 %
On River 45 unseen cards
COMB ( 45 , 2 ) ( 45 * 44 ) / ( 1 * 2 ) = ( 1980 / 2 ) 990 total possible hands
1 / 990 = 0.00101 0.101 %
e.g. Make a Straight by the River
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e.g. On the Turn, calculate the probability of an opponent having a Pocket Pair
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